: Brandon throws a 16-pound shot from a height of 5 feet with an initial velocity of 40 feet per second at an angle of 1 radians. The motion of the shot put can be modeled by the parametric equations given below. (x(t) = 20 √2t (y(t)=-16t² + 20√√2t+5 Find the time, t in seconds that the shot put is at a maximum. Show your work. What is the maximum vertical height of the shot, in feet, to the nearest tenth? Consider a very small interval of time between this maximum height, such that you are +0.01 second on either side of this maximum from Part A. Calculate the average rate of change for x(t) and y(t) on this small interval of time. Show your work.

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